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Finding the Fourth Proportional to 533.85, 800.76 and 314.61

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Solution

The fourth proportional to 533.85, 800.76 and 314.61 is: 471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.85 : 800.76 = 314.61 : x
  2. Step 2: Convert to fraction form
    533.85/800.76 = 314.61/x
  3. Step 3: Cross multiply
    533.85x = 800.76 × 314.61
  4. Step 4: Simplify right side
    533.85x = 251,927.10
  5. Step 5: Solve for x
    x = 251,927.10/533.85
  6. Step 6: Final answer
    x = 471.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.